Question
Write the value of $\lim_\limits{\text{x}\rightarrow\text{a}}\frac{\text{xf}(\text{a})-\text{af}(\text{x})}{\text{x}-\text{a}}$
$\lim_\limits{\text{x}\rightarrow\text{a}}\frac{\text{f}(\text{a})(\text{x}-\text{a})-\text{a}(\text{f}(\text{x})-\text{f}(\text{a}))}{\text{x}-\text{a}}$
$=\lim_\limits{\text{x}\rightarrow\text{a}}\frac{\text{f}(\text{a})(\text{x}-\text{a})}{(\text{x}-\text{a})}-\text{a}\lim_\limits{\text{x}\rightarrow\text{a}}\frac{\text{f}(\text{x})-\text{f}(\text{a})}{\text{x}-\text{a}}$
$=\text{f}(\text{a})-\text{a}\text{f}'(\text{a})$
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| Elementary events: | W1 | W2 | W3 | W4 | W5 | W6 | W7 |
| $\frac{1}{7}$ | $\frac{1}{7}$ | $\frac{1}{7}$ | $\frac{1}{7}$ | $\frac{1}{7}$ | $\frac{1}{7}$ | $\frac{1}{7}$ |